عنوان

Multi-scale analysis for random quantum systems with interaction /

1461482267 (electronic bk.)

9781461482260 (electronic bk.)

9781461482253

dltt

Multi-scale analysis for random quantum systems with interaction /

[Book]

Victor Chulaevsky, Yuri Suhov

1 online resource (xi, 238 pages) :

illustrations.

Progress in Mathematical Physics,

volume 65

1544-9998 ;

Includes bibliographical references and index

Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques

0

The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd

Multiscale modeling.

Applications of Mathematics.

Functional Analysis.

Mathematical Methods in Physics.

Probability Theory and Stochastic Processes.

MAT037000

PBKF

Chulaevskiĭ, V. A.

Suhov, Yu. M.

Ohio Library and Information Network.

20150224074111.0

pn

[Book]

Y